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Simplifying 8r + -4 + 3x = 7x + x + 14 Reorder the terms: -4 + 8r + 3x = 7x + x + 14 Reorder the terms: -4 + 8r + 3x = 14 + 7x + x Combine like terms: 7x + x = 8x -4 + 8r + 3x = 14 + 8x Solving -4 + 8r + 3x = 14 + 8x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8r + 4 + 3x = 14 + 4 + 8x Reorder the terms: -4 + 4 + 8r + 3x = 14 + 4 + 8x Combine like terms: -4 + 4 = 0 0 + 8r + 3x = 14 + 4 + 8x 8r + 3x = 14 + 4 + 8x Combine like terms: 14 + 4 = 18 8r + 3x = 18 + 8x Add '-3x' to each side of the equation. 8r + 3x + -3x = 18 + 8x + -3x Combine like terms: 3x + -3x = 0 8r + 0 = 18 + 8x + -3x 8r = 18 + 8x + -3x Combine like terms: 8x + -3x = 5x 8r = 18 + 5x Divide each side by '8'. r = 2.25 + 0.625x Simplifying r = 2.25 + 0.625x
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